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Finding the Fourth Proportional to 502,243.12, 753,469.98 and 147,228.22

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Solution

The fourth proportional to 502,243.12, 753,469.98 and 147,228.22 is: 220,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,243.12 : 753,469.98 = 147,228.22 : x
  2. Step 2: Convert to fraction form
    502,243.12/753,469.98 = 147,228.22/x
  3. Step 3: Cross multiply
    502,243.12x = 753,469.98 × 147,228.22
  4. Step 4: Simplify right side
    502,243.12x = 110,932,043,978.84
  5. Step 5: Solve for x
    x = 110,932,043,978.84/502,243.12
  6. Step 6: Final answer
    x = 220,873.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.